Lectures On The Theory Of Integral Equations

Author : I. G. Petrovskii
Publisher : Courier Corporation
ISBN 13 : 9780486697567
Total Pages : 142 pages
Book Rating : 4.68/5 ( download)

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Download or read book Lectures on the Theory of Integral Equations written by I. G. Petrovskii and published by Courier Corporation. This book was released on 1996-09-01 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: Simple, clear exposition of the Fredholm theory for integral equations of the second kind of Fredholm type. A brief treatment of the Volterra equation is also included. An outstanding feature is a table comparing finite dimensional spaces to function spaces. ". . . An excellent presentation."—Am. Math. Monthly. Translated from second revised (1951) Russian edition. Bibliography.

Author : Ivan Georgievich Petrovski
Publisher :
ISBN 13 :
Total Pages : 97 pages
Book Rating : 4.79/5 ( download)

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Download or read book Lectures on the Theory of Integral Equations written by Ivan Georgievich Petrovski and published by . This book was released on 1957 with total page 97 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Ivan Georgievič Petrovskij
Publisher :
ISBN 13 :
Total Pages : 135 pages
Book Rating : 4.04/5 ( download)

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Download or read book Lectures on the Theory of Integral Equations written by Ivan Georgievič Petrovskij and published by . This book was released on 1975 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Harold Widom
Publisher : Courier Dover Publications
ISBN 13 : 0486817822
Total Pages : 144 pages
Book Rating : 4.28/5 ( download)

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Download or read book Lectures on Integral Equations written by Harold Widom and published by Courier Dover Publications. This book was released on 2016-11-28 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise classic presents main results of integral equation theory as consequences of theory of operators on Banach and Hilbert spaces. Also, applications to second order linear differential equations and Fourier integral techniques. 1969 edition.

Author : K?saku Yoshida
Publisher : Courier Corporation
ISBN 13 : 9780486666792
Total Pages : 242 pages
Book Rating : 4.94/5 ( download)

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Download or read book Lectures on Differential and Integral Equations written by K?saku Yoshida and published by Courier Corporation. This book was released on 1991-01-01 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: Lucid, self-contained exposition of theory of ordinary differential equations and integral equations. Boundary value problem of second order linear ordinary differential equations, Fredholm integral equations, many other topics. Bibliography. 1960 edition.

Author : Ralph Henstock
Publisher : World Scientific
ISBN 13 : 9789971504519
Total Pages : 224 pages
Book Rating : 4.10/5 ( download)

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Download or read book Lectures on the Theory of Integration written by Ralph Henstock and published by World Scientific. This book was released on 1988 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be self-contained, giving the theory of absolute (equivalent to Lebesgue) and non-absolute (equivalent to Denjoy-Perron) integration by using a simple extension of the Riemann integral. A useful tool for mathematicians and scientists needing advanced integration theory would be a method combining the ideas of the calculus of indefinite integral and Riemann definite integral in such a way that Lebesgue properties can be proved easily.Three important results that have not appeared in any other book distinguish this book from the rest. First a result on limits of sequences under the integral sign, secondly the necessary and sufficient conditions for the various limits under the integral sign and thirdly the application of these results to ordinary differential equations. The present book will give non-absolute integration theory just as easily as the absolute theory, and Stieltjes-type integration too.

Author : A. O. Gogolin
Publisher : Springer Science & Business Media
ISBN 13 : 3319002120
Total Pages : 291 pages
Book Rating : 4.25/5 ( download)

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Download or read book Lectures on Complex Integration written by A. O. Gogolin and published by Springer Science & Business Media. This book was released on 2013-10-22 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of complex functions is a strikingly beautiful and powerful area of mathematics. Some particularly fascinating examples are seemingly complicated integrals which are effortlessly computed after reshaping them into integrals along contours, as well as apparently difficult differential and integral equations, which can be elegantly solved using similar methods. To use them is sometimes routine but in many cases it borders on an art. The goal of the book is to introduce the reader to this beautiful area of mathematics and to teach him or her how to use these methods to solve a variety of problems ranging from computation of integrals to solving difficult integral equations. This is done with a help of numerous examples and problems with detailed solutions.

Author : Bharucha-Reid
Publisher : Academic Press
ISBN 13 : 008095605X
Total Pages : 266 pages
Book Rating : 4.53/5 ( download)

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Download or read book Random Integral Equations written by Bharucha-Reid and published by Academic Press. This book was released on 1973-03-02 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random Integral Equations

Author : Wolfgang Hackbusch
Publisher : Birkhäuser
ISBN 13 : 3034892152
Total Pages : 377 pages
Book Rating : 4.55/5 ( download)

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Download or read book Integral Equations written by Wolfgang Hackbusch and published by Birkhäuser. This book was released on 2012-12-06 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of integral equations has been an active research field for many years and is based on analysis, function theory, and functional analysis. On the other hand, integral equations are of practical interest because of the «boundary integral equation method», which transforms partial differential equations on a domain into integral equations over its boundary. This book grew out of a series of lectures given by the author at the Ruhr-Universitat Bochum and the Christian-Albrecht-Universitat zu Kiel to students of mathematics. The contents of the first six chapters correspond to an intensive lecture course of four hours per week for a semester. Readers of the book require background from analysis and the foundations of numeri cal mathematics. Knowledge of functional analysis is helpful, but to begin with some basic facts about Banach and Hilbert spaces are sufficient. The theoretical part of this book is reduced to a minimum; in Chapters 2, 4, and 5 more importance is attached to the numerical treatment of the integral equations than to their theory. Important parts of functional analysis (e. g. , the Riesz-Schauder theory) are presented without proof. We expect the reader either to be already familiar with functional analysis or to become motivated by the practical examples given here to read a book about this topic. We recall that also from a historical point of view, functional analysis was initially stimulated by the investigation of integral equations.

Author : Weng Chew
Publisher : Springer Nature
ISBN 13 : 3031017072
Total Pages : 241 pages
Book Rating : 4.70/5 ( download)

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Download or read book Integral Equation Methods for Electromagnetic and Elastic Waves written by Weng Chew and published by Springer Nature. This book was released on 2022-05-31 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral Equation Methods for Electromagnetic and Elastic Waves is an outgrowth of several years of work. There have been no recent books on integral equation methods. There are books written on integral equations, but either they have been around for a while, or they were written by mathematicians. Much of the knowledge in integral equation methods still resides in journal papers. With this book, important relevant knowledge for integral equations are consolidated in one place and researchers need only read the pertinent chapters in this book to gain important knowledge needed for integral equation research. Also, learning the fundamentals of linear elastic wave theory does not require a quantum leap for electromagnetic practitioners. Integral equation methods have been around for several decades, and their introduction to electromagnetics has been due to the seminal works of Richmond and Harrington in the 1960s. There was a surge in the interest in this topic in the 1980s (notably the work of Wilton and his coworkers) due to increased computing power. The interest in this area was on the wane when it was demonstrated that differential equation methods, with their sparse matrices, can solve many problems more efficiently than integral equation methods. Recently, due to the advent of fast algorithms, there has been a revival in integral equation methods in electromagnetics. Much of our work in recent years has been in fast algorithms for integral equations, which prompted our interest in integral equation methods. While previously, only tens of thousands of unknowns could be solved by integral equation methods, now, tens of millions of unknowns can be solved with fast algorithms. This has prompted new enthusiasm in integral equation methods. Table of Contents: Introduction to Computational Electromagnetics / Linear Vector Space, Reciprocity, and Energy Conservation / Introduction to Integral Equations / Integral Equations for Penetrable Objects / Low-Frequency Problems in Integral Equations / Dyadic Green's Function for Layered Media and Integral Equations / Fast Inhomogeneous Plane Wave Algorithm for Layered Media / Electromagnetic Wave versus Elastic Wave / Glossary of Acronyms